According to MTV UK Georgia was be a tribute to West's childhood home or to Kardashian's late father Rob, whose middle name was George.

Kai could also be short for "Kaidence."

The reality star prematurely delivered her daughter at the weekend and apparently some of the process was filmed.

Her E! network filming crew accompanied her to the hospital in Los Angeles, California.

"Kim was extremely upset because she wasn't due for another month," an insider told Radar Online. "She was in pain and didn't know what was happening. The camera crew from Keeping Up With the Kardashians had been with her all week.

"Kim was taken to Cedars, and cameras followed her there."

However the people who usually document Kardashian's life on screen didn't make it to the delivery room.

Mother Kris Jenner took over camera duties, but reports claim the footage will only be used for the family's private viewing.

"The camera crew did attempt to accompany Kim into the hospital," the source added. "When Kanye arrived, he told them to get lost, which they did. Kanye didn't want this precious moment to be documented for TV."

The rapper even dictated to his girlfriend's relatives at which points they were allowed to capture intimate moments.

The new father told the Kardashian family matriarch when it was ideal to put Kim in front of the lens.

"Kim's momager, Kris, who was in the delivery room, filmed portions of it for family viewing only," the insider revealed.